There are two forces acting on the block on the plane of the ground: the centerpointing applied force on the block, and friction.

In the film 2001: A Space Odyssey, a wheel like space station achieves artificial gravity by spinning around its axis.

If the station had a size of 2 km, how fast should it be spinning for the people inside to feel the same gravitational acceleration as on earth?

The sum of the forces on this plane is $$\sum = F_R - F_$$ By Newton's Second Law: $$ma = F_R - F_$$ Now we know the formula for the applied force: $$ma = \frac - F_$$ We also know the formula for the frictional force: $$ma = \frac - mg\mu_k$$ Divide away \(m\): $$a = \frac - g\mu_k$$ Now solve for \(R\): $$a R = v^2 - Rg\mu_k \Rightarrow$$ $$a R Rg\mu_k = v^2 \Rightarrow$$ $$R(a g\mu_k) = v^2 \Rightarrow$$ $$R = \frac$$ Feel free to check the units on the right-hand side to ensure they are units of length.

Now plug in the known values: $$R = \frac = 1.236 \; m$$ Example 4: A stone is rolling around in a uniform circular motion.

## Comments Solved Uniform Circular Motion Problems Physics

## Common Problems of Circular Motion - Fisika Study Center

Physics.- Learning circular motion in 15 common problems. Expressing quantities of circular motion in different units, angular speed, angular position, centripetal acceleration, centripetal force and some gears relationships will be discussed. Problem 1 Express in radians a 90 o b 270 o. Solution 360 o = 2π radians a 90 o b 270 o…

## Circular Motion – Physics Problems

Dynamics of Circular Motion Problem. A pilot of mass m=60 kg in a jet aircraft executes a loop-the-loop, as shown in the figure. The aircraft moves in a vertical circle of radius 800 m at a constant speed of 200 m/s. Determine the force in N exerted by the seat on the pilot at the top of the loop.…

## Problems and Solution Dynamics of Uniform Circular Motion - PHYSICS.

A If a lap around the circular track is of length 200m then the average speed of the car is v = d/t = 200 m/25.0 s = 8.00 m/s b The car undergoes uniform circular motion, moving in a circle of radius r with speed v. The net force on the car points toward the center of the circle and has magnitude F cent = mv 2 /r Actually, we haven’t.…

## Solving Problems Involving Uniform Circular Motion

Use for other problems involving Newton’s Second Law, where we apply the equation. However, for uniform circular motion, the acceleration has the special form of Equation 5.3. Thus, when we apply Newton’s Second Law, it has a special form. The special form of Newton’s Second Law for uniform circular motion is Eq. 5.4 Newton’s Second Law for uniform circular motion…

## Physics Problems dynamics circular motion

Problem 40. A particle moves in a circle of radius 1 m. Its linear speed is given by, where t is in second and v in meter/second. Find the radial and tangential acceleration at. Solution. Problem 41. A 1.5 kg mass is attached to the end of a 90 cm string. The system is whirled in a horizontal circular path.…

## Uniform circular motion problems and solutions - PHYSICS TUTORIAL ROOM

D Kinematic Problem and Solution, Solved Problems in Basic Physics, Uniform circular motion problems and solutions,…

## Solved non-uniform circular motion problem Physics Forums

Homework Help Solved non-uniform circular motion problem. #1. PEToronto. The problem statement, all variables and given/known data. A 200g ball on a 55-cm-long string is swung in a vertical circle about a point 200 cm above the floor. The string suddenly breaks when it is parallel to the ground and the ball is moving upward.…

## Uniform circular motion - Basic Practice Problems Online Brilliant

Uniform circular motion - Basic. A racing car moving at a constant tangential speed of 44 m/s on a circular track takes one lap around the track in 45 seconds. Determine the approximate magnitude of the acceleration of the car.…